1 | % 'pivlab': function piv.m adapted from PIVlab http://pivlab.blogspot.com/ |
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2 | %-------------------------------------------------------------------------- |
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3 | % function [xtable ytable utable vtable typevector] = pivlab (image1,image2,ibx,iby step, subpixfinder, mask, roi) |
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4 | % |
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5 | % OUTPUT: |
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6 | % xtable: set of x coordinates |
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7 | % ytable: set of y coordiantes |
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8 | % utable: set of u displacements (along x) |
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9 | % vtable: set of v displacements (along y) |
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10 | % ctable: max image correlation for each vector |
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11 | % typevector: set of flags, =1 for good, =0 for NaN vectors |
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12 | % |
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13 | %INPUT: |
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14 | % image1:first image (matrix) |
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15 | % image2: second image (matrix) |
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16 | % ibx,iby: size of the correlation box along x and y (in px) |
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17 | % step: mesh of the measurement points (in px) |
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18 | % subpixfinder=1 or 2 controls the curve fitting of the image correlation |
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19 | % mask: =[] for no mask |
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20 | % roi: 4 element vector defining a region of interest: x position, y position, width, height, (in image indices), for the whole image, roi=[]; |
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21 | function [xtable ytable utable vtable ctable F result_conv errormsg] = pivlab (image1,image2,ibx2,iby2,isx2,isy2,shiftx,shifty, GridIndices, subpixfinder,mask) |
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22 | %this funtion performs the DCC PIV analysis. Recent window-deformation |
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23 | %methods perform better and will maybe be implemented in the future. |
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24 | nbvec=size(GridIndices,1); |
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25 | xtable=zeros(nbvec,1); |
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26 | ytable=xtable; |
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27 | utable=xtable; |
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28 | vtable=xtable; |
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29 | ctable=xtable; |
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30 | F=xtable; |
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31 | result_conv=[]; |
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32 | errormsg=''; |
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33 | %warning off %MATLAB:log:logOfZero |
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34 | [npy_ima npx_ima]=size(image1); |
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35 | if ~isequal(size(image2),[npy_ima npx_ima]) |
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36 | errormsg='image pair with unequal size'; |
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37 | return |
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38 | end |
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39 | |
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40 | %% mask |
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41 | testmask=0; |
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42 | if exist('mask','var') && ~isempty(mask) |
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43 | testmask=1; |
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44 | if ~isequal(size(mask),[npy_ima npx_ima]) |
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45 | errormsg='mask must be an image with the same size as the images'; |
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46 | return |
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47 | end |
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48 | % Convention for mask |
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49 | % mask >200 : velocity calculated |
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50 | % 200 >=mask>150;velocity not calculated, interpolation allowed (bad spots) |
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51 | % 150>=mask >100: velocity not calculated, nor interpolated |
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52 | % 100>=mask> 20: velocity not calculated, impermeable (no flux through mask boundaries) |
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53 | % 20>=mask: velocity=0 |
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54 | test_noflux=(mask<=100) ; |
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55 | test_undefined=(mask<=200 & mask>100 ); |
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56 | image1(test_undefined)=min(min(image1))*ones(size(image1));% put image to zero in the undefined area |
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57 | image2(test_undefined)=min(min(image1))*ones(size(image1));% put image to zero in the undefined area |
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58 | end |
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59 | image1=double(image1); |
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60 | image2=double(image2); |
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61 | |
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62 | %% calculate correlations: MAINLOOP |
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63 | corrmax=0; |
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64 | sum_square=1;% default |
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65 | for ivec=1:nbvec |
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66 | iref=GridIndices(ivec,1); |
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67 | jref=GridIndices(ivec,2); |
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68 | testmask_ij=0; |
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69 | test0=0; |
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70 | if testmask |
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71 | if mask(jref,iref)<=20 |
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72 | vector=[0 0]; |
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73 | test0=1; |
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74 | else |
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75 | mask_crop1=mask(jref-iby2:jref+iby2,iref-ibx2:iref+ibx2); |
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76 | mask_crop2=mask(jref+shifty-isy2:jref+shifty+isy2,iref+shiftx-isx2:iref+shiftx+isx2); |
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77 | if ~isempty(find(mask_crop1<=200 & mask_crop1>100,1)) || ~isempty(find(mask_crop2<=200 & mask_crop2>100,1)); |
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78 | testmask_ij=1; |
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79 | end |
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80 | end |
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81 | end |
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82 | if ~test0 |
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83 | image1_crop=image1(jref-iby2:jref+iby2,iref-ibx2:iref+ibx2); |
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84 | image2_crop=image2(jref+shifty-isy2:jref+shifty+isy2,iref+shiftx-isx2:iref+shiftx+isx2); |
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85 | image1_crop=image1_crop-mean(mean(image1_crop)); |
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86 | image2_crop=image2_crop-mean(mean(image2_crop)); |
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87 | %reference: Oliver Pust, PIV: Direct Cross-Correlation |
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88 | result_conv= conv2(image2_crop,flipdim(flipdim(image1_crop,2),1),'valid'); |
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89 | corrmax= max(max(result_conv)); |
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90 | result_conv=(result_conv/corrmax)*255; %normalize, peak=always 255 |
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91 | %Find the correlation max, at 255 |
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92 | [y,x] = find(result_conv==255,1); |
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93 | if ~isnan(y) && ~isnan(x) |
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94 | try |
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95 | if subpixfinder==1 |
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96 | [vector,F(ivec)] = SUBPIXGAUSS (result_conv,x,y); |
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97 | elseif subpixfinder==2 |
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98 | [vector,F(ivec)] = SUBPIX2DGAUSS (result_conv,x,y); |
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99 | end |
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100 | sum_square=sum(sum(image1_crop.*image1_crop)); |
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101 | ctable(ivec)=corrmax/sum_square;% correlation value |
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102 | % if vector(1)>shiftx+isx2-ibx2+subpixfinder || vector(2)>shifty+isy2-iby2+subpixfinder |
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103 | % F(ivec)=-2;%vector reaches the border of the search zone |
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104 | % end |
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105 | catch ME |
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106 | vector=[0 0]; %if something goes wrong with cross correlation..... |
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107 | F(ivec)=3; |
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108 | end |
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109 | else |
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110 | vector=[0 0]; %if something goes wrong with cross correlation..... |
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111 | F(ivec)=3; |
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112 | end |
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113 | if testmask_ij |
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114 | F(ivec)=3; |
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115 | end |
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116 | end |
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117 | |
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118 | %Create the vector matrix x, y, u, v |
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119 | xtable(ivec)=iref+vector(1)/2;% convec flow (velocity taken at the point middle from imgae1 and 2) |
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120 | ytable(ivec)=jref+vector(2)/2; |
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121 | utable(ivec)=vector(1); |
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122 | vtable(ivec)=vector(2); |
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123 | end |
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124 | result_conv=result_conv*corrmax/(255*sum_square);% keep the last correlation matrix for output |
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125 | |
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126 | |
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127 | function [vector,F] = SUBPIXGAUSS (result_conv,x,y) |
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128 | vector=[0 0]; %default |
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129 | F=0; |
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130 | [npy,npx]=size(result_conv); |
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131 | |
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132 | % if (x <= (size(result_conv,1)-1)) && (y <= (size(result_conv,1)-1)) && (x >= 1) && (y >= 1) |
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133 | %the following 8 lines are copyright (c) 1998, Uri Shavit, Roi Gurka, Alex Liberzon, Technion Israel Institute of Technology |
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134 | %http://urapiv.wordpress.com |
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135 | peaky = y; |
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136 | if y <= npy-1 && y >= 1 |
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137 | f0 = log(result_conv(y,x)); |
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138 | f1 = real(log(result_conv(y-1,x))); |
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139 | f2 = real(log(result_conv(y+1,x))); |
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140 | peaky = peaky+ (f1-f2)/(2*f1-4*f0+2*f2); |
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141 | else |
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142 | F=-2; % warning flag for vector truncated by the limited search box |
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143 | end |
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144 | peakx=x; |
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145 | if x <= npx-1 && x >= 1 |
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146 | f0 = log(result_conv(y,x)); |
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147 | f1 = real(log(result_conv(y,x-1))); |
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148 | f2 = real(log(result_conv(y,x+1))); |
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149 | peakx = peakx+ (f1-f2)/(2*f1-4*f0+2*f2); |
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150 | else |
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151 | F=-2; % warning flag for vector truncated by the limited search box |
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152 | end |
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153 | vector=[peakx-floor(npx/2)-1 peaky-floor(npy/2)-1]; |
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154 | % else |
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155 | % vector=[NaN NaN]; |
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156 | % end |
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157 | |
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158 | function [vector,F] = SUBPIX2DGAUSS (result_conv,x,y) |
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159 | vector=[0 0]; %default |
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160 | F=-2; |
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161 | peaky=y; |
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162 | peakx=x; |
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163 | [npy,npx]=size(result_conv); |
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164 | if (x <= npx-1) && (y <= npy-1) && (x >= 1) && (y >= 1) |
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165 | F=0; |
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166 | for i=-1:1 |
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167 | for j=-1:1 |
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168 | %following 15 lines based on |
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169 | %H. Nobach Æ M. Honkanen (2005) |
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170 | %Two-dimensional Gaussian regression for sub-pixel displacement |
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171 | %estimation in particle image velocimetry or particle position |
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172 | %estimation in particle tracking velocimetry |
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173 | %Experiments in Fluids (2005) 38: 511515 |
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174 | c10(j+2,i+2)=i*log(result_conv(y+j, x+i)); |
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175 | c01(j+2,i+2)=j*log(result_conv(y+j, x+i)); |
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176 | c11(j+2,i+2)=i*j*log(result_conv(y+j, x+i)); |
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177 | c20(j+2,i+2)=(3*i^2-2)*log(result_conv(y+j, x+i)); |
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178 | c02(j+2,i+2)=(3*j^2-2)*log(result_conv(y+j, x+i)); |
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179 | %c00(j+2,i+2)=(5-3*i^2-3*j^2)*log(result_conv_norm(maxY+j, maxX+i)); |
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180 | end |
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181 | end |
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182 | c10=(1/6)*sum(sum(c10)); |
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183 | c01=(1/6)*sum(sum(c01)); |
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184 | c11=(1/4)*sum(sum(c11)); |
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185 | c20=(1/6)*sum(sum(c20)); |
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186 | c02=(1/6)*sum(sum(c02)); |
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187 | deltax=(c11*c01-2*c10*c02)/(4*c20*c02-c11^2); |
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188 | deltay=(c11*c10-2*c01*c20)/(4*c20*c02-c11^2); |
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189 | if abs(deltax)<1 |
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190 | peakx=x+deltax; |
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191 | end |
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192 | if abs(deltay)<1 |
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193 | peaky=y+deltay; |
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194 | end |
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195 | end |
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196 | vector=[peakx-floor(npx/2)-1 peaky-floor(npy/2)-1]; |
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